28 citations · 86 across the 11 of their papers we have counts for
11 papers
On the perturbed Gelfand equation from combustion theory
Philip Korman, Yi Li, Tiancheng Ouyang
For the perturbed Gelfand's equation on the unit ball in two dimensions, Y. Du and Y. Lou [4] proved that the curve of positive solutions is exactly -shaped, for sufficiently sm…
The Broucke-Hénon orbit and the Schubart Orbit in the planar three-body problem with equal masses
Wentian Kuang, Tiancheng Ouyang, Zhifu Xie +1
In this paper, we study the variational properties of two special orbits: the Schubart orbit and the Broucke-Hénon orbit. We show that under an appropriate topological constraint,…
New phenomenons in the spatial isosceles three-body problem
Duokui Yan, Tiancheng Ouyang
In this work, we study the periodic orbits in the spatial isosceles three-body problem. These periodic orbits form a one-parameter set with a rotation angle as the parameter. S…
A continuum of periodic solutions to the four-body problem with various choices of masses
Tiancheng Ouyang, Zhifu Xie
In this paper, we apply the variational method with the Structural Prescribed Boundary Conditions (SPBC) to prove the existence of periodic and quasi-periodic solutions for planar…
A new variational method with SPBC and many stable choreographic solutions of the Newtonian 4-body problem
Tiancheng Ouyang, Zhifu Xie
After the existence proof of the first remarkably stable simple choreographic motion-- the figure eight of the planar three-body problem by Chenciner and Montgomery in 2000, a grea…
Linear Stability Analysis of Symmetric Periodic Simultaneous Binary Collision Orbits in the Planar Pairwise Symmetric Four-Body Problem
Lennard F. Bakker, Scott C. Mancuso, Skyler C. Simmons
We apply the symmetry reduction method of Roberts to numerically analyze the linear stability of a one-parameter family of symmetric periodic orbits with regularizable simultaneous…